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Finding the Fourth Proportional to 296,036.10, 443,543.85 and 137,940.30

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Solution

The fourth proportional to 296,036.10, 443,543.85 and 137,940.30 is: 206,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,036.10 : 443,543.85 = 137,940.30 : x
  2. Step 2: Convert to fraction form
    296,036.10/443,543.85 = 137,940.30/x
  3. Step 3: Cross multiply
    296,036.10x = 443,543.85 × 137,940.30
  4. Step 4: Simplify right side
    296,036.10x = 61,182,571,732.16
  5. Step 5: Solve for x
    x = 61,182,571,732.16/296,036.10
  6. Step 6: Final answer
    x = 206,672.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.